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Finding the Fourth Proportional to 309.84, 462.57 and 266.52

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Solution

The fourth proportional to 309.84, 462.57 and 266.52 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 462.57 = 266.52 : x
  2. Step 2: Convert to fraction form
    309.84/462.57 = 266.52/x
  3. Step 3: Cross multiply
    309.84x = 462.57 × 266.52
  4. Step 4: Simplify right side
    309.84x = 123,284.16
  5. Step 5: Solve for x
    x = 123,284.16/309.84
  6. Step 6: Final answer
    x = 397.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.